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Kidney donations from living donors form an attractive alternative to long waiting times on a list for a post-mortem donation. However, even if a living donor for a given patient is found, the donor's kidney might not meet the patient's…

Cryptography and Security · Computer Science 2020-11-11 Malte Breuer , Ulrike Meyer , Susanne Wetzel , Anja Mühlfeld

We investigate online maximum cardinality matching, a central problem in ad allocation. In this problem, users are revealed sequentially, and each new user can be paired with any previously unmatched campaign that it is compatible with.…

Data Structures and Algorithms · Computer Science 2024-10-28 Flore Sentenac , Nathan Noiry , Matthieu Lerasle , Laurent Ménard , Vianney Perchet

Within the context of stochastic probing with commitment, we consider the online stochastic matching problem; that is, the one sided online bipartite matching problem where edges adjacent to an online node must be probed to determine if…

Data Structures and Algorithms · Computer Science 2021-01-07 Allan Borodin , Calum MacRury , Akash Rakheja

We consider the {\em stochastic matching} problem. An edge-weighted general (i.e., not necessarily bipartite) graph $G(V, E)$ is given in the input, where each edge in $E$ is {\em realized} independently with probability $p$; the…

Data Structures and Algorithms · Computer Science 2018-05-24 Soheil Behnezhad , Nima Reyhani

Kidney exchange programs (KEPs) form an innovative approach to increasing the donor pool through allowing the participation of renal patients together with a willing but incompatible donor. The aim of a KEP is to identify groups of…

Computer Science and Game Theory · Computer Science 2022-06-24 Danny Blom , Bart Smeulders , Frits C. R. Spieksma

The planted densest subgraph detection problem refers to the task of testing whether in a given (random) graph there is a subgraph that is unusually dense. Specifically, we observe an undirected and unweighted graph on $n$ vertices. Under…

Data Structures and Algorithms · Computer Science 2024-05-06 Wasim Huleihel , Arya Mazumdar , Soumyabrata Pal

Kidney paired donation programs (KPDPs) match patients with willing but incompatible donors to compatible donors with an assurance that when they donate, their intended recipient receives a kidney in return from a different donor. A patient…

Optimization and Control · Mathematics 2023-02-13 Lizeth Carolina Riascos-Alvarez , Merve Bodur , Dionne M. Aleman

A dynamic bipartite matching model is given by a bipartite matching graph which determines the possible matchings between the various types of supply and demand items. Both supply and demand items arrive to the system according to a…

Discrete Mathematics · Computer Science 2020-09-11 Arnaud Cadas , Ana Bušić , Josu Doncel

Matching is one of the most fundamental and broadly applicable problems across many domains. In these diverse real-world applications, there is often a degree of uncertainty in the input which has led to the study of stochastic matching…

Data Structures and Algorithms · Computer Science 2026-04-21 Brian Brubach , Nathaniel Grammel , Will Ma , Calum MacRury , Aravind Srinivasan

Maximum weight matching is one of the most fundamental combinatorial optimization problems with a wide range of applications in data mining and bioinformatics. Developing distributed weighted matching algorithms is challenging due to the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-06 Sepehr Assadi , MohammadHossein Bateni , Vahab Mirrokni

Edge-labeled graphs are widely used to describe relationships between entities in a database. Given a query subgraph that represents an example of what the user is searching for, we study the problem of efficiently searching for similar…

Databases · Computer Science 2020-05-12 Zhaoyang Shao , Davood Rafiei , Themis Palpanas

In barter exchanges, participants directly trade their endowed goods in a constrained economic setting without money. Transactions in barter exchanges are often facilitated via a central clearinghouse that must match participants even in…

Artificial Intelligence · Computer Science 2018-11-09 Duncan C McElfresh , Hoda Bidkhori , John P Dickerson

The stable allocation problem is one of the broadest extensions of the well-known stable marriage problem. In an allocation problem, edges of a bipartite graph have capacities and vertices have quotas to fill. Here we investigate the case…

Discrete Mathematics · Computer Science 2014-07-14 Agnes Cseh , Martin Skutella

We study the stable matching problem in non-bipartite graphs with incomplete but strict preference lists, where the edges have weights and the goal is to compute a stable matching of minimum or maximum weight. This problem is known to be…

Computer Science and Game Theory · Computer Science 2017-03-28 Linda Farczadi , Natália Guričanová

In kidney exchange programmes (KEP) patients may swap their incompatible donors leading to cycles of kidney transplants. Nowadays, countries try to merge their national patient-donor pools leading to international KEPs (IKEPs). As shown in…

Computer Science and Game Theory · Computer Science 2025-12-30 Márton Benedek , Péter Biró , Gergely Csáji , Matthew Johnson , Daniël Paulusma , Xin Ye

In this paper, we develop a novel paradigm, namely hypergraph shift, to find robust graph modes by probabilistic voting strategy, which are semantically sound besides the self-cohesiveness requirement in forming graph modes. Unlike the…

Artificial Intelligence · Computer Science 2017-04-13 Yang Wang , Lin Wu

Kidney transplants are sharply overdemanded in the United States. A recent innovation to address organ shortages is a kidney exchange, in which willing but medically incompatible patient-donor pairs swap donors so that two successful…

Computer Science and Game Theory · Computer Science 2019-12-24 Irena Gao

In the weighted bipartite matching problem, the goal is to find a maximum-weight matching in a bipartite graph with nonnegative edge weights. We consider its online version where the first vertex set is known beforehand, but vertices of the…

Computer Science and Game Theory · Computer Science 2021-03-05 Rebecca Reiffenhäuser

We study the maximum matching problem in fully dynamic graphs: a graph is undergoing both edge insertions and deletions, and the goal is to efficiently maintain a large matching after each edge update. This problem has received considerable…

Data Structures and Algorithms · Computer Science 2022-01-11 Soheil Behnezhad , Sanjeev Khanna

Online bipartite matching with edge arrivals remained a major open question for a long time until a recent negative result by [Gamlath et al. FOCS 2019], who showed that no online policy is better than the straightforward greedy algorithm,…

Data Structures and Algorithms · Computer Science 2020-07-17 Nick Gravin , Zhihao Gavin Tang , Kangning Wang